## 2008/2009NxZ~i[̂m点iĊwj

ꏊF    wȊwȁij1K 126
ԁF    Ηj 16:30 - 18:00
blF 哇Yiakagi.ms.u|tokyo.ac.jpjCяrsioms.u|tokyo.ac.jpj

• 513
ut: Wj (w)
\: On endomorphisms of the Weyl algebra
Noncommutative geometry has revived the interest in the Weyl algebras, which are basic building blocks of quantum field theories. The Weyl algebra An(C) is an associative algebra over C generated by pi, qi (i=1,...,n) with relations [pi, qj]=δij. Every endomorphism of An is injective since An is simple. Dixmier (1968) initiated a systematic study of the Weyl algebra A1 and posed the following problem: Is every endomorphism of A1 an automorphism? We give an affirmative answer to this conjecture.
• 520
ut: g Y (HƑw)
\: Lipsman\z̔Ƒ㐔l̂̓ٓ_ɂ
: 16:45 - 18:15
[Q\$G\$l\$M\$ɍpĂƂ, ̏ \$G\backspace M\$̃nEXht, sAQ_̌ɂ dvł. , xL냊[Q^ԂɃAt@C RɍpƂ, ʑ͏ɃnEXhtłLipsman͗\z.
, ̗\zɂ͔Ⴊ, ʑ͕KnEXhtłȂ.
̍uł, ̔nEXht`'. 萳mɂ, \$M\$ւ\$G\$p, Rɑ㐔l\$V\$`, \$V\$̓ٓ_ ʑ̔nEXhtɑΉ邱Ƃ.
• 527
ut: W (cw)
\: Visible actions on multiplicity-free spaces
@The holomorphic action of a Lie group G on a complex manifold D is called strongly visible if there exist a real submanifold S such that D':=GES is open in D and an anti-holomorphic diffeomorphism which is an identity map on S and preserves each G-orbit in D'.
@In this talk, we treat the case where D is a multiplicity-free space V of a connected complex reductive Lie group G(C), @and show that the action of a compact real form of G(C) on V is strongly visible.
• 63
ut: Mꎁ (Rȑ)
\: Matrix valued commuting differential operators with B2 symmetry
B2 ^WeylQ̍pɂΏ̐2sl2K ̉Ȕpf\Bpf Iida (Publ. Res. Inst. Math. Sci. Kyoto Univ. 32 (1996)) ɂvZ Sp(2,R)/U(2) ̓xNg̕sϔpf aʂȏꍇƂĊ܂݁AW͑ȉ~֐p \Buł́AQ̏ꍇAȍpf̍\Aspin Calogero-Sutherland ͌^Ƃ̊֌Wɂďqׂ
• 69ij- 13ij
From Painleve to Okamoto
FwȊw
• 621 17:00-
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• 71
ut: c K (吔)
\: sώzeta̗_Ɣpf̊֌Wɂ
MacWilliamsϊƌĂ΂ϊŕsςȕf2ϐĎɑ΂āA zetaƌĂ΂镡f1ϐ`B TypeIV extremal ƌĂ΂sώ̖ɑ΂Adeg = 0 (mod 6) ̏ꍇɂ́A ΉSĂ zeta̗_~ɏƂؖĂ邪A deg = 2,4 (mod 6) ̏ꍇ͖łB ̍uł́Asώɑ΂pfpāA deg = 4 (mod6)̏ꍇɂSĂzeta̗_~ɏƂƂB
• 78
ut: V (吔)
\: construction of extended affine Lie algebras from multiloop Lie algebras
@affine Lie algebra Kac-Moody Lie algebra Ƃ͈قȂʉƂāAextended affine Lie algebra ƌĂ΂ Lie algebra class lB
@قƂǂ extended affine Lie algebra ́AL simple Lie algebra ƁAL݂̌ɉȗLʐȓ^pč\ł邱ƂłɒmĂB
@̍uł́A̍\ɂē extended affine Lie algebra ǂ̂悤ȏꍇɁiKȈӖŁj^ƂȂ邩AƂɊւ錋ʂbB
• 715
ut: A (吔)
\: GL(4,R)̑މn\̈Whittaker֐
@GL(n,R)̑މn\̈Whittaker͌^̋Ԃ́CΏ̋GL(n,R)/O(n)C֐̒ŁCpfBkernelƂētD̔pfB́C哇Yɂމn\ɑ΂Poissonϊ̑̓tɗpꂽ̂łC̖Iȕ\ɂēĂD܂Ckernel藝͎R̃j^ŒEGCgQ̈Whittaker͌^ɑ΂藝̗ގɂD wỉCGL(4,R)̑މn\ɑ΂A̗̋lDł͈Whittaker͌^͈ϐό`Bessel֐AHorn̓ϐ^􉽊֐ɂĎD
• 729
ut: ؑ] x` (鐼w)
\: Clifford㐔̕\Ǐ֐𖞂ƂɕtԂɂiLƂ̋j
TώxNgԂ̗_̊{藝iǏ֐j́AGcɌƁATώxNgԂ̑Εsώ̕fxLFourierϊoΊTώxNgԂ̑Εsώ̕fxLɃK}q̂ƈv邱Ƃ咣ĂB
̍uł́ATώxNgԂ̑Εsώł͂Ȃɂ炸A̕fxL̋Ǐ֐𖞂悤ȑAClifford㐔̕\\ł邱Ƃ񍐂B
• 84ij- 7i؁j
Workshop on Accessory Parameters
FʌۃZ~i[nEX
blF哇YiwjCdiF{wj
• 86ij- 8ij
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• 824ij- 30iyj
JSPS-RFBR I[NVbv
Harmonic Analysis on Homogeneous Spaces and Quantization
FwʌۃZ~i[nEX
• 98ij10:00 - 12:00
Fww@Ȋw 056
ut: Federico Incitti ([} 1 w)
\: Dyck partitions, quasi-minuscule quotients and Kazhdan-Lusztig polynomials
Kazhdan-Lusztig polynomials were first defined by Kazhdan and Lusztig in [Invent. Math., 53 (1979), 165-184]. Since then, numerous applications have been found, especially to representation theory and to the geometry of Schubert varieties. In 1987 Deodhar introduced parabolic analogues of these polynomials. These are related to their ordinary counterparts in several ways, and also play a direct role in other areas, including geometry of partial flag manifolds and the theory of Macdonald polynomials.
In this talk I study the parabolic Kazhdan-Lusztig polynomials of the quasi-minuscule quotients of the symmetric group. More precisely, I will first show how these quotients are closely related to ``rooted partitions'' and then I will give explicit, closed combinatorial formulas for the polynomials. These are based on a special class of rooted partitions, the ``rooted-Dyck'' partitions, and imply that they are always (either zero or) a power of \$q\$.
I will conclude with some enumerative results on Dyck and rooted-Dyck partitions, showing a connection with random walks on regular trees.
This is partly based on a joint work with Francesco Brenti and Mario Marietti.
• 913iyj10 - 14ij16
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Fww@Ȋw 056
• 916i΁j- 19ij
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